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Finding the Fourth Proportional to 432,816.84, 649,200.96 and 117,250.56

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Solution

The fourth proportional to 432,816.84, 649,200.96 and 117,250.56 is: 175,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,816.84 : 649,200.96 = 117,250.56 : x
  2. Step 2: Convert to fraction form
    432,816.84/649,200.96 = 117,250.56/x
  3. Step 3: Cross multiply
    432,816.84x = 649,200.96 × 117,250.56
  4. Step 4: Simplify right side
    432,816.84x = 76,119,176,112.54
  5. Step 5: Solve for x
    x = 76,119,176,112.54/432,816.84
  6. Step 6: Final answer
    x = 175,869.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.